Approach to the synthesis of an aperiodic robust automatic control system based on the gradient-speed method of Lyapunov vector functions

One of the actual problems for theory and practice control dynamic objects is development methods research synthesis systems multidimensional objects. The paper proposes a universal approach to construct Lyapunov vector functions directly from equation state system new gradient-speed method study aperiodic robust stability linear with m inputs n outputs. automatic based on construction systems. basic statements Lyapunov's theorem about asymptotic notions are used. representation as gradient potential catastrophe allow full-time derivative always sign-negative function equal scalar product velocity vector. conditions obtained inequalities uncertain parameters system, which condition existence vector-function. A numerical example robustness object given. shows main stages developed method, at different values coefficients k, confirming consistency proposed method. Transients in satisfy all requirements